This paper deals with an inverse problem of transient thermoelasticity in a piezoceramic hollow cylinder of crystal class 6mm. It is assumed that the cylinder is poled in the radial direction. An unknown asymmetric heating temperature on the inner surface is inferred from the knowledge of the electric potential thermally induced on the outer surface. The finite difference formulation with respect to a time variable is employed, so that this inverse problem can be solved. Numerical calculations have been carried out for a hollow cylinder of cadmium selenide. Numerical results for the inferred heating temperature are shown in a figure.